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Finding the Fourth Proportional to 409,309.31, 614,047.01 and 128,761.31

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Solution

The fourth proportional to 409,309.31, 614,047.01 and 128,761.31 is: 193,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,309.31 : 614,047.01 = 128,761.31 : x
  2. Step 2: Convert to fraction form
    409,309.31/614,047.01 = 128,761.31/x
  3. Step 3: Cross multiply
    409,309.31x = 614,047.01 × 128,761.31
  4. Step 4: Simplify right side
    409,309.31x = 79,065,497,409.18
  5. Step 5: Solve for x
    x = 79,065,497,409.18/409,309.31
  6. Step 6: Final answer
    x = 193,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.